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A097565 a(0) = 0, a(1) = 1, a(n) = Mod[a(n-1),F(n)]*a(n-1) + a(n-2) for n > 2 where F(n) is the n-th Fibonacci number. 0
0, 1, 0, 1, 1, 2, 5, 27, 167, 5204, 177103, 14527650, 959002003, 94955725947, 4084055217724, 179793385305803, 120106065439494128, 183522247784932333387, 256013655766046044568993, 173321428475860957105541648 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

The fractional portion of a(n)/a(n-1) exponentially approaches 0 as n increases.

LINKS

Table of n, a(n) for n=0..19.

MATHEMATICA

RecurrenceTable[{a[0]==0, a[1]==1, a[n]==Mod[a[n-1], Fibonacci[n]]a[n-1]+ a[n-2]}, a, {n, 20}] (* Harvey P. Dale, Jul 06 2016 *)

CROSSREFS

Sequence in context: A100105 A087130 A265266 * A079716 A203195 A058182

Adjacent sequences:  A097562 A097563 A097564 * A097566 A097567 A097568

KEYWORD

nonn

AUTHOR

Gerald McGarvey, Aug 27 2004

STATUS

approved

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Last modified July 23 06:43 EDT 2017. Contains 289686 sequences.